Your vessel measures 114 feet long by 16...

Question 1 / 2707066636eec28f7522a1c51d1ac

Question 1 of 2707066636eec28f7522a1c51d1ac

Your vessel measures 114 feet long by 16 feet in beam. If the natural rolling period at a draft of 5'- 06" is 6 seconds, what is the GM?

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Question 1 of 27070

Your vessel measures 114 feet long by 16 feet in beam. If the natural rolling period at a draft of 5'- 06" is 6 seconds, what is the GM?

🔍 Key Concepts

• Use the rolling period formula that relates GM (metacentric height), beam, and rolling period for small angles of heel • Convert all dimensions to consistent units (feet) before using the formula • Understand that a longer rolling period generally means a smaller GM (softer, slower roll)

💭 Think About

• What standard empirical formula connects rolling period (T), beam (B), and GM for a ship’s natural roll? How is GM isolated in that formula? • Have you squared all necessary terms correctly, and kept track of units while solving for GM? • Once you calculate a numerical GM, which of the answer choices is closest to your computed value?

✅ Before You Answer

• Verify that you are using the correct constant and form of the rolling-period/GM formula for a conventional vessel (not a barge or special type) • Double-check your unit conversions, especially the draft and beam if you used them anywhere; GM must come out in feet • After solving, do a sanity check: Does your GM value make sense for a 114' vessel with a 6-second rolling period (not extremely stiff, not extremely tender)?

Question 1 of 27070

Your vessel measures 114 feet long by 16 feet in beam. If the natural rolling period at a draft of 5'- 06" is 6 seconds, what is the GM?

1.38 feet

1.53 feet

1.76 feet

1.98 feet